What is the Least Common Multiple of 71405 and 71410?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 71405 and 71410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71405 and 71410, than apply into the LCM equation.

GCF(71405,71410) = 5
LCM(71405,71410) = ( 71405 × 71410) / 5
LCM(71405,71410) = 5099031050 / 5
LCM(71405,71410) = 1019806210

Least Common Multiple (LCM) of 71405 and 71410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71405 and 71410. First we will calculate the prime factors of 71405 and 71410.

Prime Factorization of 71405

Prime Factorization of 71410

Now multiplying the highest exponent prime factors to calculate the LCM of 71405 and 71410.

LCM(71405,71410) = 5¹ × 14281¹ × 2¹ × 37¹ × 193¹
LCM(71405,71410) = 1019806210